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Moroccan Journal of Pure and Applied Analysis最新文献

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Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data 一类变指数和L1数据的非线性各向异性椭圆型方程的熵和重整化解
Moroccan Journal of Pure and Applied Analysis Pub Date : 2021-01-29 DOI: 10.2478/mjpaa-2021-0018
M. Moumni, Deval Sidi Mohamed
{"title":"Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data","authors":"M. Moumni, Deval Sidi Mohamed","doi":"10.2478/mjpaa-2021-0018","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0018","url":null,"abstract":"Abstract We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"277 - 298"},"PeriodicalIF":0.0,"publicationDate":"2021-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46072881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new class of mixed fractional differential equations with integral boundary conditions 一类新的具有积分边界条件的混合分数阶微分方程
Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-12-28 DOI: 10.2478/mjpaa-2021-0016
Djiab Somia, N. Brahim
{"title":"A new class of mixed fractional differential equations with integral boundary conditions","authors":"Djiab Somia, N. Brahim","doi":"10.2478/mjpaa-2021-0016","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0016","url":null,"abstract":"Abstract This paper deals with a new class of mixed fractional differential equations with integral boundary conditions. We show an important equivalence result between our problem and nonlinear integral Fredholm equation of the second kind. The existence and uniqueness of a positive solution are proved using Guo-Krasnoselskii’s fixed point theorem and Banach’s contraction mapping principle. Different types of Ulam-Hyers stability are discussed. Three examples are also given to show the applicability of our results.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"227 - 247"},"PeriodicalIF":0.0,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44637123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators 正Cohen p–核m–线性算子的控制和Kwapień因子分解定理
Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-12-14 DOI: 10.2478/mjpaa-2021-0010
A. Bougoutaia, A. Belacel, H. Hamdi
{"title":"Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators","authors":"A. Bougoutaia, A. Belacel, H. Hamdi","doi":"10.2478/mjpaa-2021-0010","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0010","url":null,"abstract":"Abstract In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class. Moreover, we give like the Kwapień’s factorization theorem. Finally, we investigate some relations with another known classes.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"100 - 115"},"PeriodicalIF":0.0,"publicationDate":"2020-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49492558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Almost Somewhat Near Continuity and Near Regularity 几乎某种近似连续性和近似正则性
Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-12-14 DOI: 10.2478/mjpaa-2021-0009
Z. Ameen
{"title":"Almost Somewhat Near Continuity and Near Regularity","authors":"Z. Ameen","doi":"10.2478/mjpaa-2021-0009","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0009","url":null,"abstract":"Abstract The notions of almost somewhat near continuity of functions and near regularity of spaces are introduced. Some properties of almost somewhat nearly continuous functions and their connections are studied. At the end, it is shown that a one-to-one almost somewhat nearly continuous function f from a space X onto a space Y is somewhat nearly continuous if and only if the range of f is nearly regular.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"88 - 99"},"PeriodicalIF":0.0,"publicationDate":"2020-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49165682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals 多元广义Gauss-Weierstrass奇异积分的完全逼近
Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-12-14 DOI: 10.2478/mjpaa-2021-0012
G. Anastassiou
{"title":"Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals","authors":"G. Anastassiou","doi":"10.2478/mjpaa-2021-0012","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0012","url":null,"abstract":"Abstract This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator. Here we study quantitatively most of their approximation properties. The multivariate generalized Gauss-Weierstrass operators are not in general positive linear operators. In particular we study the rate of convergence of these operators to the unit operator, as well as the related simultaneous approximation. These are given via Jackson type inequalities and by the use of multivariate high order modulus of smoothness of the high order partial derivatives of the involved function. Also we study the global smoothness preservation properties of these operators. These multivariate inequalities are nearly sharp and in one case the inequality is attained, that is sharp. Furthermore we give asymptotic expansions of Voronovskaya type for the error of multivariate approximation. The above properties are studied with respect to Lpnorm, 1 ≤ p ≤ ∞.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"134 - 172"},"PeriodicalIF":0.0,"publicationDate":"2020-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47844255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Sigmoid functions for the smooth approximation to the absolute value function 绝对值函数光滑逼近的Sigmoid函数
Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-11-22 DOI: 10.2478/mjpaa-2021-0002
Yogesh J. Bagul, C. Chesneau
{"title":"Sigmoid functions for the smooth approximation to the absolute value function","authors":"Yogesh J. Bagul, C. Chesneau","doi":"10.2478/mjpaa-2021-0002","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0002","url":null,"abstract":"Abstract We present smooth approximations to the absolute value function |x| using sigmoid functions. In particular, x erf(x/μ) is proved to be a better smooth approximation for |x| than x tanh(x/μ) and x2+μ sqrt {{x^2} + mu } with respect to accuracy. To accomplish our goal we also provide sharp hyperbolic bounds for the error function.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"12 - 19"},"PeriodicalIF":0.0,"publicationDate":"2020-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49133952","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
A new conjugate gradient method for acceleration of gradient descent algorithms 一种新的加速梯度下降算法的共轭梯度法
Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-11-22 DOI: 10.2478/mjpaa-2021-0001
Noureddine Rahali, M. Belloufi, R. Benzine
{"title":"A new conjugate gradient method for acceleration of gradient descent algorithms","authors":"Noureddine Rahali, M. Belloufi, R. Benzine","doi":"10.2478/mjpaa-2021-0001","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0001","url":null,"abstract":"Abstract An accelerated of the steepest descent method for solving unconstrained optimization problems is presented. which propose a fundamentally different conjugate gradient method, in which the well-known parameter βk is computed by an new formula. Under common assumptions, by using a modified Wolfe line search, descent property and global convergence results were established for the new method. Experimental results provide evidence that our proposed method is in general superior to the classical steepest descent method and has a potential to significantly enhance the computational efficiency and robustness of the training process.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"1 - 11"},"PeriodicalIF":0.0,"publicationDate":"2020-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46878282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Optimal control strategy of COVID-19 spread in Morocco using SEIRD model 基于SEIRD模型的摩洛哥COVID-19传播最优控制策略
Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-11-22 DOI: 10.2478/mjpaa-2021-0007
H. Ferjouchia, A. Kouidere, O. Zakary, M. Rachik
{"title":"Optimal control strategy of COVID-19 spread in Morocco using SEIRD model","authors":"H. Ferjouchia, A. Kouidere, O. Zakary, M. Rachik","doi":"10.2478/mjpaa-2021-0007","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0007","url":null,"abstract":"Abstract This paper aims to predict the development of the COVID-19 pandemic in Morocco from a mathematical approach. Based on the reliability of the data and the nature of confirmed cases, the SEIRD model is employed to provide a theoretical framework to forecast COVID-19 ongoing epidemic. Findings suggest that the structure and parameters of the proposed model give insights into the dynamics of the virus. Hence, this study contributes to the conceptual areas of knowledge on COVID-19 in proposing an optimal control plan to help decrease the number of confirmed cases by applying preventive measures such as social distancing, wearing facial masks. Matlab/Simulink TM simulations are used to illustrate the findings.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"66 - 79"},"PeriodicalIF":0.0,"publicationDate":"2020-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41700545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Subordination results for a class of analytic functions 一类解析函数的隶属结果
Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-11-22 DOI: 10.2478/mjpaa-2021-0004
M. Aouf, B. Frasin, G. Murugusundaramoorthy
{"title":"Subordination results for a class of analytic functions","authors":"M. Aouf, B. Frasin, G. Murugusundaramoorthy","doi":"10.2478/mjpaa-2021-0004","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0004","url":null,"abstract":"Abstract In this paper, we derive several subordination results and integral means result for certain class of analytic functions with complex order defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"30 - 42"},"PeriodicalIF":0.0,"publicationDate":"2020-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42811810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a chain of reproducing kernel Cartan subalgebras 关于再生核Cartan子代数链
Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-11-22 DOI: 10.2478/mjpaa-2021-0005
A. Y. Kraidi, K. Kangni
{"title":"On a chain of reproducing kernel Cartan subalgebras","authors":"A. Y. Kraidi, K. Kangni","doi":"10.2478/mjpaa-2021-0005","DOIUrl":"https://doi.org/10.2478/mjpaa-2021-0005","url":null,"abstract":"Abstract Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j*, the dual of j, jv the bidual of j and B(., .) the restriction to j of the Killing form of 𝔤. In this work, we will construct a chain of reproducing kernel Cartan subalgebras ordered by inclusion.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"7 1","pages":"43 - 49"},"PeriodicalIF":0.0,"publicationDate":"2020-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49396479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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